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What determines the number of subsets in a set?

The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.


How many subsets with an odd number of elements does a set of 10 elements have - Can you explain?

512 subsets


Can you relate the number of elements of a set to its number of subsets?

If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.


If the given set A has n elements then set A has 2n subsets how many subsets are there in R equals even numbers less than 20?

Hi Suppose, I found that number of subsets of set S having n elements can be found by using formula 2^n, where n is number of elements of S. Let S(n) represents number of subsets of set S having n elements. S(n) = 2^n S(n+1) = 2^(n+1)


How do you get the number of the subsets in a set?

A finite set with N distinct elements has 2N subsets.


What is the Formula for the number of subsets in a set?

If the set has n elements, the number of subsets (the power set) has 2n members.


How many subsets with more than two elements does a set with 100 elements have?

To get the number of subsets of size less than 2:Total number of subsets of a set of size N is 2NTotal number of subsets of size 1 is 100Total number of subsets of size 0 is 1Total number of subsets of size 2 is 100*99/2 = 4950Sum up: 100 + 1 + 4950 = 5051Subtract this from total subsets: 2100 - 5051 (Answer)


How to determine the number of subsets of the given sets?

If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.


The number of subsets in a set with five elements?

32.


How does cardinality relates to number of subset of a set?

If a set has "n" elements, then it will have 2n subsets. This number of subsets is always larger than the number of elements - whether the set is finite or infinite.


How many proper subsets does a set with four elements have?

A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.


What is the relationship of number of elements to number of subset?

A finite set, with n elements has 2n subsets, including the empty set and itself. For infinite sets the number of subsets is the same order of infinity.